3255477341400 has 288 divisors, whose sum is σ = 11040723408000. Its totient is φ = 859582679040.

The previous prime is 3255477341351. The next prime is 3255477341401. The reversal of 3255477341400 is 41437745523.

It is a happy number.

3255477341400 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 477 + 34 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3255477341401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345111084 + ... + 345120516.

Almost surely, 2^{3255477341400} is an apocalyptic number.

3255477341400 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 3255477341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520361704000).

3255477341400 is an abundant number, since it is smaller than the sum of its proper divisors (7785246066600).

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

3255477341400 is a wasteful number, since it uses less digits than its factorization.

3255477341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 3255477341400 in words is "three trillion, two hundred fifty-five billion, four hundred seventy-seven million, three hundred forty-one thousand, four hundred".