3464120400 has 120 divisors (see below), whose sum is σ = 11950380960. Its totient is φ = 852702720.

The previous prime is 3464120369. The next prime is 3464120417. The reversal of 3464120400 is 40214643.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95430 + ... + 126629.

It is an arithmetic number, because the mean of its divisors is an integer number (99586508).

Almost surely, 2^3464120400 is an apocalyptic number.

3464120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3464120400 is an abundant number, since it is smaller than the sum of its proper divisors (8486260560).

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

3464120400 is a wasteful number, since it uses less digits than its factorization.

3464120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222093 (or 222082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3464120400 is about 58856.7787089983. The cubic root of 3464120400 is about 1513.0884844327.

The spelling of 3464120400 in words is "three billion, four hundred sixty-four million, one hundred twenty thousand, four hundred".