3397363920 has 120 divisors (see below), whose sum is σ = 11802983400. Its totient is φ = 874718208.

The previous prime is 3397363889. The next prime is 3397363927. The reversal of 3397363920 is 293637933.

3397363920 is a `hidden beast` number, since 3 + 3 + 9 + 7 + 3 + 639 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 692531856 + 2704832064 = 26316^2 + 52008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397363927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60475 + ... + 102234.

It is an arithmetic number, because the mean of its divisors is an integer number (98358195).

Almost surely, 2^3397363920 is an apocalyptic number.

3397363920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3397363920 is an abundant number, since it is smaller than the sum of its proper divisors (8405619480).

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

3397363920 is a wasteful number, since it uses less digits than its factorization.

3397363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162757 (or 162748 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 45.

The square root of 3397363920 is about 58286.9103658789. The cubic root of 3397363920 is about 1503.3058820766.

The spelling of 3397363920 in words is "three billion, three hundred ninety-seven million, three hundred sixty-three thousand, nine hundred twenty".