3948880147200 has 162 divisors, whose sum is σ = 14118137972484. Its totient is φ = 1053034690560.

The previous prime is 3948880147193. The next prime is 3948880147207. The reversal of 3948880147200 is 27410888493.

It is a happy number.

3948880147200 is a `hidden beast` number, since 3 + 9 + 488 + 80 + 14 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3948880147193) and next prime (3948880147207).

It is not an unprimeable number, because it can be changed into a prime (3948880147207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34220874 + ... + 34336073.

Almost surely, 2^{3948880147200} is an apocalyptic number.

3948880147200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3948880147200 is an abundant number, since it is smaller than the sum of its proper divisors (10169257825284).

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

3948880147200 is a wasteful number, since it uses less digits than its factorization.

3948880147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68556979 (or 68556957 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3948880147200 in words is "three trillion, nine hundred forty-eight billion, eight hundred eighty million, one hundred forty-seven thousand, two hundred".