3685051077120 has 480 divisors, whose sum is σ = 14616320209920. Its totient is φ = 840521318400.

The previous prime is 3685051077101. The next prime is 3685051077139. The reversal of 3685051077120 is 217701505863.

It is a happy number.

3685051077120 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 0 + 510 + 7 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (3685051077101) and next prime (3685051077139).

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 77229270 + ... + 77276970.

It is an arithmetic number, because the mean of its divisors is an integer number (30450667104).

Almost surely, 2^{3685051077120} is an apocalyptic number.

3685051077120 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 3685051077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308160104960).

3685051077120 is an abundant number, since it is smaller than the sum of its proper divisors (10931269132800).

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

3685051077120 is a wasteful number, since it uses less digits than its factorization.

3685051077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48216 (or 48197 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 3685051077120 in words is "three trillion, six hundred eighty-five billion, fifty-one million, seventy-seven thousand, one hundred twenty".