3701372613120 has 1280 divisors, whose sum is σ = 16425028730880. Its totient is φ = 769205403648.

The previous prime is 3701372613077. The next prime is 3701372613137. The reversal of 3701372613120 is 213162731073.

3701372613120 is a `hidden beast` number, since 3 + 7 + 0 + 1 + 37 + 2 + 613 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3701372613120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421420249 + ... + 421429031.

It is an arithmetic number, because the mean of its divisors is an integer number (12832053696).

Almost surely, 2^{3701372613120} is an apocalyptic number.

3701372613120 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 3701372613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212514365440).

3701372613120 is an abundant number, since it is smaller than the sum of its proper divisors (12723656117760).

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

3701372613120 is a wasteful number, since it uses less digits than its factorization.

3701372613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 3701372613120 in words is "three trillion, seven hundred one billion, three hundred seventy-two million, six hundred thirteen thousand, one hundred twenty".