3577810413996 has 288 divisors, whose sum is σ = 11251919078400. Its totient is φ = 933400309248.

The previous prime is 3577810413899. The next prime is 3577810414021. The reversal of 3577810413996 is 6993140187753.

3577810413996 is a `hidden beast` number, since 3 + 57 + 7 + 81 + 0 + 413 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112766991 + ... + 112798713.

Almost surely, 2^{3577810413996} is an apocalyptic number.

3577810413996 is a gapful number since it is divisible by the number (36) 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 3577810413996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625959539200).

3577810413996 is an abundant number, since it is smaller than the sum of its proper divisors (7674108664404).

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

3577810413996 is a wasteful number, since it uses less digits than its factorization.

3577810413996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32125 (or 32120 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 3577810413996 in words is "three trillion, five hundred seventy-seven billion, eight hundred ten million, four hundred thirteen thousand, nine hundred ninety-six".