3331373400432 has 800 divisors, whose sum is σ = 12721471488000. Its totient is φ = 815369587200.

The previous prime is 3331373400403. The next prime is 3331373400437. The reversal of 3331373400432 is 2340043731333.

It is a super-2 number, since 2×3331373400432² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331373400437) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 362140569 + ... + 362149767.

It is an arithmetic number, because the mean of its divisors is an integer number (15901839360).

Almost surely, 2^{3331373400432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331373400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360735744000).

3331373400432 is an abundant number, since it is smaller than the sum of its proper divisors (9390098087568).

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

3331373400432 is a wasteful number, since it uses less digits than its factorization.

3331373400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9432 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 36.

The spelling of 3331373400432 in words is "three trillion, three hundred thirty-one billion, three hundred seventy-three million, four hundred thousand, four hundred thirty-two".