3862763520 has 768 divisors, whose sum is σ = 16303472640. Its totient is φ = 756940800.

The previous prime is 3862763507. The next prime is 3862763557. The reversal of 3862763520 is 253672683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3862763520² = 29841884022885580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 54405085 + ... + 54405155.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^3862763520 is an apocalyptic number.

3862763520 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 3862763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151736320).

3862763520 is an abundant number, since it is smaller than the sum of its proper divisors (12440709120).

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

3862763520 is a wasteful number, since it uses less digits than its factorization.

3862763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3862763520 is about 62151.1345029196. The cubic root of 3862763520 is about 1569.0352735492.

It can be divided in two parts, 38627635 and 20, that added together give a triangular number (38627655 = T₈₇₈₉).

The spelling of 3862763520 in words is "three billion, eight hundred sixty-two million, seven hundred sixty-three thousand, five hundred twenty".