3331625040 has 160 divisors (see below), whose sum is σ = 11786031360. Its totient is φ = 864400896.

The previous prime is 3331625023. The next prime is 3331625057. The reversal of 3331625040 is 405261333.

It is a happy number.

3331625040 is a `hidden beast` number, since 3 + 3 + 31 + 625 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3331625023) and next prime (3331625057).

It is a super-2 number, since 2×3331625040² = 22199450814310003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3331624995 and 3331625013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59077 + ... + 100763.

It is an arithmetic number, because the mean of its divisors is an integer number (73662696).

Almost surely, 2^3331625040 is an apocalyptic number.

3331625040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893015680).

3331625040 is an abundant number, since it is smaller than the sum of its proper divisors (8454406320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3331625040 is a wasteful number, since it uses less digits than its factorization.

3331625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41746 (or 41734 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3331625040 is about 57720.2307687695. The cubic root of 3331625040 is about 1493.5463534518.

Adding to 3331625040 its reverse (405261333), we get a palindrome (3736886373).

The spelling of 3331625040 in words is "three billion, three hundred thirty-one million, six hundred twenty-five thousand, forty".