3922934400 has 1152 divisors, whose sum is σ = 18349718400. Its totient is φ = 774144000.

The previous prime is 3922934377. The next prime is 3922934413. The reversal of 3922934400 is 44392293.

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 (36).

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, 64310370 + ... + 64310430.

It is an arithmetic number, because the mean of its divisors is an integer number (15928575).

Almost surely, 2^3922934400 is an apocalyptic number.

3922934400 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 3922934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174859200).

3922934400 is an abundant number, since it is smaller than the sum of its proper divisors (14426784000).

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

3922934400 is a wasteful number, since it uses less digits than its factorization.

3922934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3922934400 is about 62633.3329785347. The cubic root of 3922934400 is about 1577.1403704165.

It can be divided in two parts, 392293 and 4400, that added together give a palindrome (396693).

The spelling of 3922934400 in words is "three billion, nine hundred twenty-two million, nine hundred thirty-four thousand, four hundred".