3835721760 has 384 divisors, whose sum is σ = 13655900160. Its totient is φ = 898560000.

The previous prime is 3835721741. The next prime is 3835721807. The reversal of 3835721760 is 671275383.

It is a super-2 number, since 2×3835721760² = 29425522840274995200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15281635 + ... + 15281885.

It is an arithmetic number, because the mean of its divisors is an integer number (35562240).

Almost surely, 2^3835721760 is an apocalyptic number.

3835721760 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 3835721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827950080).

3835721760 is an abundant number, since it is smaller than the sum of its proper divisors (9820178400).

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

3835721760 is a wasteful number, since it uses less digits than its factorization.

3835721760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 3835721760 is about 61933.2040185231. The cubic root of 3835721760 is about 1565.3652867712.

The spelling of 3835721760 in words is "three billion, eight hundred thirty-five million, seven hundred twenty-one thousand, seven hundred sixty".