3812402880 has 336 divisors, whose sum is σ = 15407237664. Its totient is φ = 853032960.

The previous prime is 3812402879. The next prime is 3812402921. The reversal of 3812402880 is 882042183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407212 + ... + 416468.

It is an arithmetic number, because the mean of its divisors is an integer number (45854874).

Almost surely, 2^3812402880 is an apocalyptic number.

3812402880 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 3812402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703618832).

3812402880 is an abundant number, since it is smaller than the sum of its proper divisors (11594834784).

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

3812402880 is a wasteful number, since it uses less digits than its factorization.

3812402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3812402880 is about 61744.6587163619. The cubic root of 3812402880 is about 1562.1866770573.

The spelling of 3812402880 in words is "three billion, eight hundred twelve million, four hundred two thousand, eight hundred eighty".