3336127920 has 360 divisors, whose sum is σ = 12355302960. Its totient is φ = 804418560.

The previous prime is 3336127913. The next prime is 3336127933. The reversal of 3336127920 is 297216333.

3336127920 is a `hidden beast` number, since 3 + 3 + 361 + 279 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3336127920² = 22259498997207052800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 7236490 + ... + 7236950.

It is an arithmetic number, because the mean of its divisors is an integer number (34320286).

Almost surely, 2^3336127920 is an apocalyptic number.

3336127920 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 3336127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177651480).

3336127920 is an abundant number, since it is smaller than the sum of its proper divisors (9019175040).

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

3336127920 is a wasteful number, since it uses less digits than its factorization.

3336127920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3336127920 is about 57759.2236789935. The cubic root of 3336127920 is about 1494.2189213768.

The spelling of 3336127920 in words is "three billion, three hundred thirty-six million, one hundred twenty-seven thousand, nine hundred twenty".