3357991920 has 80 divisors (see below), whose sum is σ = 10745597952. Its totient is φ = 866576640.

The previous prime is 3357991919. The next prime is 3357991921. The reversal of 3357991920 is 291997533.

It is an interprime number because it is at equal distance from previous prime (3357991919) and next prime (3357991921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3357991920² = 22552219469570572800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3357991920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357991921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218232 + ... + 233111.

Almost surely, 2^3357991920 is an apocalyptic number.

3357991920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3357991920 is an abundant number, since it is smaller than the sum of its proper divisors (7387606032).

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

3357991920 is a wasteful number, since it uses less digits than its factorization.

3357991920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451390 (or 451384 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 3357991920 is about 57948.1830603859. The cubic root of 3357991920 is about 1497.4760399101.

The spelling of 3357991920 in words is "three billion, three hundred fifty-seven million, nine hundred ninety-one thousand, nine hundred twenty".