3701620007136 has 144 divisors (see below), whose sum is σ = 10689940170000. Its totient is φ = 1214735284224.

The previous prime is 3701620007101. The next prime is 3701620007147. The reversal of 3701620007136 is 6317000261073.

3701620007136 is a `hidden beast` number, since 370 + 16 + 200 + 0 + 71 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3701620007136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32920740 + ... + 33032988.

It is an arithmetic number, because the mean of its divisors is an integer number (74235695625).

Almost surely, 2^{3701620007136} is an apocalyptic number.

3701620007136 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 3701620007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344970085000).

3701620007136 is an abundant number, since it is smaller than the sum of its proper divisors (6988320162864).

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

3701620007136 is a wasteful number, since it uses less digits than its factorization.

3701620007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114041 (or 114030 counting only the distinct ones).

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

The spelling of 3701620007136 in words is "three trillion, seven hundred one billion, six hundred twenty million, seven thousand, one hundred thirty-six".