3405957120 has 384 divisors, whose sum is σ = 12328243200. Its totient is φ = 891813888.

The previous prime is 3405957101. The next prime is 3405957169. The reversal of 3405957120 is 217595043.

3405957120 is a `hidden beast` number, since 3 + 40 + 595 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26818497 + ... + 26818623.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2^3405957120 is an apocalyptic number.

3405957120 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 3405957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164121600).

3405957120 is an abundant number, since it is smaller than the sum of its proper divisors (8922286080).

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

3405957120 is a wasteful number, since it uses less digits than its factorization.

3405957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3405957120 is about 58360.5784755429. The cubic root of 3405957120 is about 1504.5722886234.

The spelling of 3405957120 in words is "three billion, four hundred five million, nine hundred fifty-seven thousand, one hundred twenty".