3414055392 has 240 divisors, whose sum is σ = 11333876400. Its totient is φ = 998645760.

The previous prime is 3414055387. The next prime is 3414055423. The reversal of 3414055392 is 2935504143.

3414055392 is a `hidden beast` number, since 3 + 4 + 14 + 0 + 553 + 92 = 666.

It is a super-3 number, since 3×3414055392³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 824784 + ... + 828912.

It is an arithmetic number, because the mean of its divisors is an integer number (47224485).

Almost surely, 2^3414055392 is an apocalyptic number.

3414055392 is a gapful number since it is divisible by the number (32) 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 3414055392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666938200).

3414055392 is an abundant number, since it is smaller than the sum of its proper divisors (7919821008).

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

3414055392 is a wasteful number, since it uses less digits than its factorization.

3414055392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3414055392 is about 58429.9186376295. The cubic root of 3414055392 is about 1505.7638079773.

The spelling of 3414055392 in words is "three billion, four hundred fourteen million, fifty-five thousand, three hundred ninety-two".