3646780704 has 432 divisors, whose sum is σ = 13269922848. Its totient is φ = 978905088.

The previous prime is 3646780693. The next prime is 3646780723. The reversal of 3646780704 is 4070876463.

3646780704 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 (432).

It is a self number, because there is not a number n which added to its sum of digits gives 3646780704.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6477127 + ... + 6477689.

It is an arithmetic number, because the mean of its divisors is an integer number (30717414).

Almost surely, 2^3646780704 is an apocalyptic number.

3646780704 is a gapful number since it is divisible by the number (34) 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 3646780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634961424).

3646780704 is an abundant number, since it is smaller than the sum of its proper divisors (9623142144).

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

3646780704 is a wasteful number, since it uses less digits than its factorization.

3646780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3646780704 is about 60388.5809073205. The cubic root of 3646780704 is about 1539.2289252837.

The spelling of 3646780704 in words is "three billion, six hundred forty-six million, seven hundred eighty thousand, seven hundred four".