3960122400 has 432 divisors, whose sum is σ = 15605501184. Its totient is φ = 974177280.

The previous prime is 3960122399. The next prime is 3960122407. The reversal of 3960122400 is 42210693.

3960122400 is a `hidden beast` number, since 39 + 601 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3960122407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2526417 + ... + 2527983.

Almost surely, 2^3960122400 is an apocalyptic number.

3960122400 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 3960122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802750592).

3960122400 is an abundant number, since it is smaller than the sum of its proper divisors (11645378784).

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

3960122400 is a wasteful number, since it uses less digits than its factorization.

3960122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3960122400 is about 62929.5034145352. The cubic root of 3960122400 is about 1582.1082788667.

It can be divided in two parts, 39601 and 22400, that added together give a square (62001 = 249²).

The spelling of 3960122400 in words is "three billion, nine hundred sixty million, one hundred twenty-two thousand, four hundred".