3911978400 has 432 divisors, whose sum is σ = 14753743200. Its totient is φ = 897177600.

The previous prime is 3911978383. The next prime is 3911978429. The reversal of 3911978400 is 48791193.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 5517246 + ... + 5517954.

Almost surely, 2^3911978400 is an apocalyptic number.

3911978400 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 3911978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376871600).

3911978400 is an abundant number, since it is smaller than the sum of its proper divisors (10841764800).

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

3911978400 is a wasteful number, since it uses less digits than its factorization.

3911978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 3911978400 is about 62545.8104112498. The cubic root of 3911978400 is about 1575.6707850739.

It can be divided in two parts, 391 and 1978400, that added together give a palindrome (1978791).

The spelling of 3911978400 in words is "three billion, nine hundred eleven million, nine hundred seventy-eight thousand, four hundred".