3904497216 has 112 divisors (see below), whose sum is σ = 11516766400. Its totient is φ = 1297161216.

The previous prime is 3904497209. The next prime is 3904497277. The reversal of 3904497216 is 6127944093.

It is a happy number.

3904497216 is a `hidden beast` number, since 390 + 4 + 49 + 7 + 216 = 666.

It is a super-3 number, since 3×3904497216³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537255 + ... + 544473.

Almost surely, 2^3904497216 is an apocalyptic number.

3904497216 is a gapful number since it is divisible by the number (36) 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 3904497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758383200).

3904497216 is an abundant number, since it is smaller than the sum of its proper divisors (7612269184).

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

3904497216 is a wasteful number, since it uses less digits than its factorization.

3904497216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3904497216 is about 62485.9761546541. The cubic root of 3904497216 is about 1574.6657177182.

The spelling of 3904497216 in words is "three billion, nine hundred four million, four hundred ninety-seven thousand, two hundred sixteen".