3649934058624 has 576 divisors, whose sum is σ = 12719925504000. Its totient is φ = 1042756001280.

The previous prime is 3649934058517. The next prime is 3649934058643. The reversal of 3649934058624 is 4268504399463.

3649934058624 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 9 + 3 + 40 + 586 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 288047809 + ... + 288060479.

It is an arithmetic number, because the mean of its divisors is an integer number (22083204000).

Almost surely, 2^{3649934058624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3649934058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359962752000).

3649934058624 is an abundant number, since it is smaller than the sum of its proper divisors (9069991445376).

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

3649934058624 is an frugal number, since it uses more digits than its factorization.

3649934058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12730 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3649934058624 in words is "three trillion, six hundred forty-nine billion, nine hundred thirty-four million, fifty-eight thousand, six hundred twenty-four".