3762343680 has 288 divisors, whose sum is σ = 12856596480. Its totient is φ = 935362560.

The previous prime is 3762343679. The next prime is 3762343709. The reversal of 3762343680 is 863432673.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3620601 + ... + 3621639.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^3762343680 is an apocalyptic number.

3762343680 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 3762343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3762343680 is an abundant number, since it is smaller than the sum of its proper divisors (9094252800).

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

3762343680 is a wasteful number, since it uses less digits than its factorization.

3762343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3762343680 is about 61337.9464931783. The cubic root of 3762343680 is about 1555.3190386283.

The spelling of 3762343680 in words is "three billion, seven hundred sixty-two million, three hundred forty-three thousand, six hundred eighty".