3992276445696 has 1440 divisors, whose sum is σ = 15489547444800. Its totient is φ = 977155522560.

The previous prime is 3992276445673. The next prime is 3992276445697. The reversal of 3992276445696 is 6965446722993.

3992276445696 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 27 + 64 + 456 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3992276445697) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3097188220 + ... + 3097189508.

It is an arithmetic number, because the mean of its divisors is an integer number (10756630170).

Almost surely, 2^{3992276445696} is an apocalyptic number.

3992276445696 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 3992276445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744773722400).

3992276445696 is an abundant number, since it is smaller than the sum of its proper divisors (11497270999104).

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

3992276445696 is a wasteful number, since it uses less digits than its factorization.

3992276445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1384 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 3992276445696 in words is "three trillion, nine hundred ninety-two billion, two hundred seventy-six million, four hundred forty-five thousand, six hundred ninety-six".