3928692480 has 144 divisors (see below), whose sum is σ = 12575260320. Its totient is φ = 1045315584.

The previous prime is 3928692479. The next prime is 3928692517. The reversal of 3928692480 is 842968293.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2353086 + ... + 2354754.

Almost surely, 2^3928692480 is an apocalyptic number.

3928692480 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 3928692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287630160).

3928692480 is an abundant number, since it is smaller than the sum of its proper divisors (8646567840).

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

3928692480 is a wasteful number, since it uses less digits than its factorization.

3928692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3928692480 is about 62679.2827017030. The cubic root of 3928692480 is about 1577.9116349804.

The spelling of 3928692480 in words is "three billion, nine hundred twenty-eight million, six hundred ninety-two thousand, four hundred eighty".