3942734400 has 336 divisors, whose sum is σ = 15681228480. Its totient is φ = 955699200.

The previous prime is 3942734399. The next prime is 3942734407. The reversal of 3942734400 is 44372493.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3942734407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471052 + ... + 479348.

Almost surely, 2^3942734400 is an apocalyptic number.

3942734400 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 3942734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840614240).

3942734400 is an abundant number, since it is smaller than the sum of its proper divisors (11738494080).

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

3942734400 is a wasteful number, since it uses less digits than its factorization.

3942734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3942734400 is about 62791.1968352252. The cubic root of 3942734400 is about 1579.7893219066.

The spelling of 3942734400 in words is "three billion, nine hundred forty-two million, seven hundred thirty-four thousand, four hundred".