3949662562560 has 2592 divisors, whose sum is σ = 17099273318400. Its totient is φ = 835013836800.

The previous prime is 3949662562523. The next prime is 3949662562597. The reversal of 3949662562560 is 652652669493.

3949662562560 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 6 + 6 + 2 + 5 + 62 + 560 = 666.

3949662562560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3949662562523) and next prime (3949662562597).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44378230996 + ... + 44378231084.

Almost surely, 2^{3949662562560} is an apocalyptic number.

3949662562560 is a gapful number since it is divisible by the number (30) 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 3949662562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549636659200).

3949662562560 is an abundant number, since it is smaller than the sum of its proper divisors (13149610755840).

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

3949662562560 is a wasteful number, since it uses less digits than its factorization.

3949662562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 3949662562560 in words is "three trillion, nine hundred forty-nine billion, six hundred sixty-two million, five hundred sixty-two thousand, five hundred sixty".