3846460800 has 1152 divisors, whose sum is σ = 17259207840. Its totient is φ = 743178240.

The previous prime is 3846460789. The next prime is 3846460801. The reversal of 3846460800 is 80646483.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846460801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103958382 + ... + 103958418.

Almost surely, 2^3846460800 is an apocalyptic number.

3846460800 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 3846460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629603920).

3846460800 is an abundant number, since it is smaller than the sum of its proper divisors (13412747040).

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

3846460800 is a wasteful number, since it uses less digits than its factorization.

3846460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3846460800 is about 62019.8419862547. The cubic root of 3846460800 is about 1566.8247996913.

The spelling of 3846460800 in words is "three billion, eight hundred forty-six million, four hundred sixty thousand, eight hundred".