3801461664 has 576 divisors, whose sum is σ = 14343920640. Its totient is φ = 853032960.

The previous prime is 3801461639. The next prime is 3801461737. The reversal of 3801461664 is 4661641083.

It is a super-2 number, since 2×3801461664² = 28902221565723297792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 21237127 + ... + 21237305.

It is an arithmetic number, because the mean of its divisors is an integer number (24902640).

Almost surely, 2^3801461664 is an apocalyptic number.

3801461664 is a gapful number since it is divisible by the number (34) 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 3801461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171960320).

3801461664 is an abundant number, since it is smaller than the sum of its proper divisors (10542458976).

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

3801461664 is a wasteful number, since it uses less digits than its factorization.

3801461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3801461664 is about 61655.9945504085. The cubic root of 3801461664 is about 1560.6908051610.

The spelling of 3801461664 in words is "three billion, eight hundred one million, four hundred sixty-one thousand, six hundred sixty-four".