3384601632 has 96 divisors (see below), whose sum is σ = 10391371200. Its totient is φ = 1068816384.

The previous prime is 3384601589. The next prime is 3384601657. The reversal of 3384601632 is 2361064833.

3384601632 is a `hidden beast` number, since 3 + 38 + 460 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3384601632² = 22911056414674126848, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 86673 + ... + 119504.

It is an arithmetic number, because the mean of its divisors is an integer number (108243450).

Almost surely, 2^3384601632 is an apocalyptic number.

3384601632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3384601632 is an abundant number, since it is smaller than the sum of its proper divisors (7006769568).

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

3384601632 is a wasteful number, since it uses less digits than its factorization.

3384601632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206215 (or 206201 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3384601632 is about 58177.3291927362. The cubic root of 3384601632 is about 1501.4211171921.

The spelling of 3384601632 in words is "three billion, three hundred eighty-four million, six hundred one thousand, six hundred thirty-two".