3975686400 has 216 divisors, whose sum is σ = 14995470784. Its totient is φ = 908697600.

The previous prime is 3975686333. The next prime is 3975686417. The reversal of 3975686400 is 46865793.

It is a super-2 number, since 2×3975686400² = 31612164702289920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3975686400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119610 + ... + 149190.

Almost surely, 2^3975686400 is an apocalyptic number.

3975686400 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 3975686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497735392).

3975686400 is an abundant number, since it is smaller than the sum of its proper divisors (11019784384).

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

3975686400 is a wasteful number, since it uses less digits than its factorization.

3975686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29617 (or 29598 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3975686400 is about 63053.0443357020. The cubic root of 3975686400 is about 1584.1782270633.

The spelling of 3975686400 in words is "three billion, nine hundred seventy-five million, six hundred eighty-six thousand, four hundred".