3792989760 has 448 divisors, whose sum is σ = 14755246080. Its totient is φ = 806215680.

The previous prime is 3792989749. The next prime is 3792989771. The reversal of 3792989760 is 679892973.

It is an interprime number because it is at equal distance from previous prime (3792989749) and next prime (3792989771).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3792989694 and 3792989703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7788237 + ... + 7788723.

Almost surely, 2^3792989760 is an apocalyptic number.

3792989760 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 3792989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377623040).

3792989760 is an abundant number, since it is smaller than the sum of its proper divisors (10962256320).

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

3792989760 is a wasteful number, since it uses less digits than its factorization.

3792989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The square root of 3792989760 is about 61587.2532266215. The cubic root of 3792989760 is about 1559.5305622347.

The spelling of 3792989760 in words is "three billion, seven hundred ninety-two million, nine hundred eighty-nine thousand, seven hundred sixty".