3762922240 has 288 divisors, whose sum is σ = 11413172736. Its totient is φ = 1154580480.

The previous prime is 3762922223. The next prime is 3762922253. The reversal of 3762922240 is 422292673.

It is a self number, because there is not a number n which added to its sum of digits gives 3762922240.

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, 7194619 + ... + 7195141.

It is an arithmetic number, because the mean of its divisors is an integer number (39629072).

Almost surely, 2^3762922240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3762922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706586368).

3762922240 is an abundant number, since it is smaller than the sum of its proper divisors (7650250496).

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

3762922240 is a wasteful number, since it uses less digits than its factorization.

3762922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 3762922240 is about 61342.6624788980. The cubic root of 3762922240 is about 1555.3987583756.

The spelling of 3762922240 in words is "three billion, seven hundred sixty-two million, nine hundred twenty-two thousand, two hundred forty".