3731427899100 has 540 divisors, whose sum is σ = 13377539662872. Its totient is φ = 899000467200.

The previous prime is 3731427899077. The next prime is 3731427899113. The reversal of 3731427899100 is 19987241373.

3731427899100 is a `hidden beast` number, since 3 + 7 + 31 + 427 + 89 + 9 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 159744622 + ... + 159767978.

Almost surely, 2^{3731427899100} is an apocalyptic number.

3731427899100 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 3731427899100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688769831436).

3731427899100 is an abundant number, since it is smaller than the sum of its proper divisors (9646111763772).

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

3731427899100 is a wasteful number, since it uses less digits than its factorization.

3731427899100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23568 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 3731427899100 in words is "three trillion, seven hundred thirty-one billion, four hundred twenty-seven million, eight hundred ninety-nine thousand, one hundred".