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3379930752 = 27311317389
BaseRepresentation
bin1100100101110101…
…1010011010000000
322201112221021100110
43021131122122000
523410230241002
61315215351320
7146520636342
oct31135323200
98645837313
103379930752
111484979000
127a3b22540
1341b31a033
14240c65292
1514bae0e6c
hexc975a680

3379930752 has 256 divisors, whose sum is σ = 10482825600. Its totient is φ = 961495040.

The previous prime is 3379930747. The next prime is 3379930777. The reversal of 3379930752 is 2570399733.

It is a super-2 number, since 2×33799307522 = 22847863776630571008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8688574 + ... + 8688962.

Almost surely, 23379930752 is an apocalyptic number.

3379930752 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 3379930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241412800).

3379930752 is an abundant number, since it is smaller than the sum of its proper divisors (7102894848).

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

3379930752 is a wasteful number, since it uses less digits than its factorization.

3379930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 48.

The square root of 3379930752 is about 58137.1718610391. The cubic root of 3379930752 is about 1500.7301263305.

The spelling of 3379930752 in words is "three billion, three hundred seventy-nine million, nine hundred thirty thousand, seven hundred fifty-two".