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3474139680 = 2533511292521
BaseRepresentation
bin1100111100010011…
…0010101000100000
322222010012120201000
43033010302220200
524103334432210
61332422512000
7152043462054
oct31704625040
98863176630
103474139680
111523074620
1280b595600
134349b396b
1424d589c64
15154eeeac0
hexcf132a20

3474139680 has 384 divisors, whose sum is σ = 13727750400. Its totient is φ = 812851200.

The previous prime is 3474139631. The next prime is 3474139699. The reversal of 3474139680 is 869314743.

3474139680 is a `hidden beast` number, since 3 + 474 + 13 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1376820 + ... + 1379340.

It is an arithmetic number, because the mean of its divisors is an integer number (35749350).

Almost surely, 23474139680 is an apocalyptic number.

3474139680 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 3474139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863875200).

3474139680 is an abundant number, since it is smaller than the sum of its proper divisors (10253610720).

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

3474139680 is a wasteful number, since it uses less digits than its factorization.

3474139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3474139680 is about 58941.8330220566. The cubic root of 3474139680 is about 1514.5458495609.

The spelling of 3474139680 in words is "three billion, four hundred seventy-four million, one hundred thirty-nine thousand, six hundred eighty".