3848513760 has 576 divisors, whose sum is σ = 16563875328. Its totient is φ = 791949312.

The previous prime is 3848513741. The next prime is 3848513789. The reversal of 3848513760 is 673158483.

3848513760 is a `hidden beast` number, since 38 + 48 + 513 + 7 + 60 = 666.

It is a super-2 number, since 2×3848513760² = 29622116321818675200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5634379 + ... + 5635061.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 2^3848513760 is an apocalyptic number.

3848513760 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 3848513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281937664).

3848513760 is an abundant number, since it is smaller than the sum of its proper divisors (12715361568).

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

3848513760 is a wasteful number, since it uses less digits than its factorization.

3848513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3848513760 is about 62036.3906106730. The cubic root of 3848513760 is about 1567.1035023490.

The spelling of 3848513760 in words is "three billion, eight hundred forty-eight million, five hundred thirteen thousand, seven hundred sixty".