3973656960 has 1152 divisors, whose sum is σ = 18607125600. Its totient is φ = 794271744.

The previous prime is 3973656943. The next prime is 3973656977. The reversal of 3973656960 is 696563793.

It is a happy number.

3973656960 is a `hidden beast` number, since 3 + 9 + 73 + 6 + 569 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3973656943) and next prime (3973656977).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3973656897 and 3973656906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209139831 + ... + 209139849.

Almost surely, 2^3973656960 is an apocalyptic number.

3973656960 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 3973656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303562800).

3973656960 is an abundant number, since it is smaller than the sum of its proper divisors (14633468640).

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

3973656960 is a wasteful number, since it uses less digits than its factorization.

3973656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The square root of 3973656960 is about 63036.9491647557. The cubic root of 3973656960 is about 1583.9086265015.

The spelling of 3973656960 in words is "three billion, nine hundred seventy-three million, six hundred fifty-six thousand, nine hundred sixty".