3646266624 has 1152 divisors, whose sum is σ = 15823503360. Its totient is φ = 796262400.

The previous prime is 3646266619. The next prime is 3646266671. The reversal of 3646266624 is 4266626463.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3646266624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117621489 + ... + 117621519.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^3646266624 is an apocalyptic number.

3646266624 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 3646266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911751680).

3646266624 is an abundant number, since it is smaller than the sum of its proper divisors (12177236736).

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

3646266624 is a wasteful number, since it uses less digits than its factorization.

3646266624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3646266624 is about 60384.3243234534. The cubic root of 3646266624 is about 1539.1565944569.

The spelling of 3646266624 in words is "three billion, six hundred forty-six million, two hundred sixty-six thousand, six hundred twenty-four".