3624465412704 has 48 divisors (see below), whose sum is σ = 9517028290560. Its totient is φ = 1207798746240.

The previous prime is 3624465412703. The next prime is 3624465412723. The reversal of 3624465412704 is 4072145644263.

3624465412704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3624465412703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5241384 + ... + 5892455.

It is an arithmetic number, because the mean of its divisors is an integer number (198271422720).

Almost surely, 2^{3624465412704} is an apocalyptic number.

It is an amenable number.

3624465412704 is an abundant number, since it is smaller than the sum of its proper divisors (5892562877856).

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

3624465412704 is a wasteful number, since it uses less digits than its factorization.

3624465412704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137243 (or 11137235 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 3624465412704 in words is "three trillion, six hundred twenty-four billion, four hundred sixty-five million, four hundred twelve thousand, seven hundred four".