3557341670400 has 1980 divisors, whose sum is σ = 15489766383168. Its totient is φ = 804304650240.

The previous prime is 3557341670359. The next prime is 3557341670417. The reversal of 3557341670400 is 40761437553.

3557341670400 is a `hidden beast` number, since 3 + 5 + 57 + 34 + 167 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15952204689 + ... + 15952204911.

Almost surely, 2^{3557341670400} is an apocalyptic number.

3557341670400 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 3557341670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744883191584).

3557341670400 is an abundant number, since it is smaller than the sum of its proper divisors (11932424712768).

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

3557341670400 is a wasteful number, since it uses less digits than its factorization.

3557341670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 3557341670400 in words is "three trillion, five hundred fifty-seven billion, three hundred forty-one million, six hundred seventy thousand, four hundred".