3979132633476 has 1152 divisors, whose sum is σ = 14093359967232. Its totient is φ = 913711104000.

The previous prime is 3979132633429. The next prime is 3979132633499. The reversal of 3979132633476 is 6743362319793.

3979132633476 is a `hidden beast` number, since 3 + 9 + 79 + 1 + 32 + 63 + 3 + 476 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21984158106 + ... + 21984158286.

It is an arithmetic number, because the mean of its divisors is an integer number (12233819416).

Almost surely, 2^{3979132633476} is an apocalyptic number.

3979132633476 is a gapful number since it is divisible by the number (36) 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 3979132633476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046679983616).

3979132633476 is an abundant number, since it is smaller than the sum of its proper divisors (10114227333756).

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

3979132633476 is a wasteful number, since it uses less digits than its factorization.

3979132633476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

The product of its digits is 92588832, while the sum is 63.

The spelling of 3979132633476 in words is "three trillion, nine hundred seventy-nine billion, one hundred thirty-two million, six hundred thirty-three thousand, four hundred seventy-six".