3431376000 has 768 divisors, whose sum is σ = 13977100800. Its totient is φ = 826675200.

The previous prime is 3431375947. The next prime is 3431376017. The reversal of 3431376000 is 6731343.

It is a happy number.

3431376000 is a `hidden beast` number, since 3 + 43 + 13 + 7 + 600 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 73007977 + ... + 73008023.

It is an arithmetic number, because the mean of its divisors is an integer number (18199350).

Almost surely, 2^3431376000 is an apocalyptic number.

3431376000 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 3431376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988550400).

3431376000 is an abundant number, since it is smaller than the sum of its proper divisors (10545724800).

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

3431376000 is a wasteful number, since it uses less digits than its factorization.

3431376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3431376000 is about 58577.9480692180. The cubic root of 3431376000 is about 1508.3059228728.

The spelling of 3431376000 in words is "three billion, four hundred thirty-one million, three hundred seventy-six thousand".