3235227766400 has 768 divisors, whose sum is σ = 10071855360000. Its totient is φ = 1001213706240.

The previous prime is 3235227766399. The next prime is 3235227766409. The reversal of 3235227766400 is 46677225323.

It is not an unprimeable number, because it can be changed into a prime (3235227766409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3416290727 + ... + 3416291673.

It is an arithmetic number, because the mean of its divisors is an integer number (13114395000).

Almost surely, 2^{3235227766400} 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 3235227766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035927680000).

3235227766400 is an abundant number, since it is smaller than the sum of its proper divisors (6836627593600).

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

3235227766400 is a wasteful number, since it uses less digits than its factorization.

3235227766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 47.

The spelling of 3235227766400 in words is "three trillion, two hundred thirty-five billion, two hundred twenty-seven million, seven hundred sixty-six thousand, four hundred".