3701694138120 has 768 divisors, whose sum is σ = 13491878400000. Its totient is φ = 872721008640.

The previous prime is 3701694138083. The next prime is 3701694138169. The reversal of 3701694138120 is 218314961073.

3701694138120 is a `hidden beast` number, since 3 + 70 + 169 + 41 + 381 + 2 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 6179789581 + ... + 6179790179.

It is an arithmetic number, because the mean of its divisors is an integer number (17567550000).

Almost surely, 2^{3701694138120} is an apocalyptic number.

3701694138120 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 3701694138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745939200000).

3701694138120 is an abundant number, since it is smaller than the sum of its proper divisors (9790184261880).

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

3701694138120 is a wasteful number, since it uses less digits than its factorization.

3701694138120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3701694138120 in words is "three trillion, seven hundred one billion, six hundred ninety-four million, one hundred thirty-eight thousand, one hundred twenty".