3731143680 has 528 divisors, whose sum is σ = 14967729504. Its totient is φ = 849346560.

The previous prime is 3731143679. The next prime is 3731143687. The reversal of 3731143680 is 863411373.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3731143687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8616744 + ... + 8617176.

Almost surely, 2^3731143680 is an apocalyptic number.

3731143680 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 3731143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483864752).

3731143680 is an abundant number, since it is smaller than the sum of its proper divisors (11236585824).

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

3731143680 is a wasteful number, since it uses less digits than its factorization.

3731143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3731143680 is about 61083.0883305682. The cubic root of 3731143680 is about 1551.0078329302.

The spelling of 3731143680 in words is "three billion, seven hundred thirty-one million, one hundred forty-three thousand, six hundred eighty".