3865970369520 has 1280 divisors, whose sum is σ = 16278958080000. Its totient is φ = 841337570304.

The previous prime is 3865970369483. The next prime is 3865970369561. The reversal of 3865970369520 is 259630795683.

3865970369520 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 9 + 70 + 36 + 9 + 520 = 666.

It is a super-3 number, since 3×3865970369520³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5231353311 + ... + 5231354049.

It is an arithmetic number, because the mean of its divisors is an integer number (12717936000).

Almost surely, 2^{3865970369520} is an apocalyptic number.

3865970369520 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 3865970369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139479040000).

3865970369520 is an abundant number, since it is smaller than the sum of its proper divisors (12412987710480).

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

3865970369520 is a wasteful number, since it uses less digits than its factorization.

3865970369520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 3865970369520 in words is "three trillion, eight hundred sixty-five billion, nine hundred seventy million, three hundred sixty-nine thousand, five hundred twenty".