3975238669248 has 1120 divisors, whose sum is σ = 14945964853248. Its totient is φ = 1014823987200.

The previous prime is 3975238669231. The next prime is 3975238669249. The reversal of 3975238669248 is 8429668325793.

It is a happy number.

3975238669248 is a `hidden beast` number, since 3 + 9 + 7 + 523 + 8 + 6 + 6 + 92 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (940584960) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975238669249) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6961888803 + ... + 6961889373.

Almost surely, 2^{3975238669248} 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 3975238669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472982426624).

3975238669248 is an abundant number, since it is smaller than the sum of its proper divisors (10970726184000).

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

3975238669248 is a wasteful number, since it uses less digits than its factorization.

3975238669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 3975238669248 in words is "three trillion, nine hundred seventy-five billion, two hundred thirty-eight million, six hundred sixty-nine thousand, two hundred forty-eight".