3601397076480 has 720 divisors, whose sum is σ = 14650339264704. Its totient is φ = 815158149120.

The previous prime is 3601397076479. The next prime is 3601397076503. The reversal of 3601397076480 is 846707931063.

3601397076480 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 3 + 97 + 0 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116267395 + ... + 116298365.

Almost surely, 2^{3601397076480} is an apocalyptic number.

3601397076480 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 3601397076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325169632352).

3601397076480 is an abundant number, since it is smaller than the sum of its proper divisors (11048942188224).

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

3601397076480 is a wasteful number, since it uses less digits than its factorization.

3601397076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31117 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3601397076480 in words is "three trillion, six hundred one billion, three hundred ninety-seven million, seventy-six thousand, four hundred eighty".