3928782400 has 63 divisors (see below), whose sum is σ = 9673433409. Its totient is φ = 1570510080.

The previous prime is 3928782397. The next prime is 3928782413. The reversal of 3928782400 is 42878293.

It is a happy number.

The square root of 3928782400 is 62680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1414361664 + 2514420736 = 37608^2 + 50144^2 .

It is a super-2 number, since 2×3928782400² = 30870662293099520000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2506417 + ... + 2507983.

Almost surely, 2^3928782400 is an apocalyptic number.

3928782400 is the 62680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3928782400

3928782400 is an abundant number, since it is smaller than the sum of its proper divisors (5744651009).

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

3928782400 is an frugal number, since it uses more digits than its factorization.

3928782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 3928782400 is about 1577.9236733140.

The spelling of 3928782400 in words is "three billion, nine hundred twenty-eight million, seven hundred eighty-two thousand, four hundred".