3845546496 has 400 divisors, whose sum is σ = 13180332000. Its totient is φ = 1103984640.

The previous prime is 3845546461. The next prime is 3845546503. The reversal of 3845546496 is 6946455483.

3845546496 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 546 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12441600) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202397175 + ... + 202397193.

It is an arithmetic number, because the mean of its divisors is an integer number (32950830).

Almost surely, 2^3845546496 is an apocalyptic number.

3845546496 is a gapful number since it is divisible by the number (36) 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 3845546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590166000).

3845546496 is an abundant number, since it is smaller than the sum of its proper divisors (9334785504).

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

3845546496 is an frugal number, since it uses more digits than its factorization.

3845546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 35 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 3845546496 is about 62012.4704877979. The cubic root of 3845546496 is about 1566.7006450656.

The spelling of 3845546496 in words is "three billion, eight hundred forty-five million, five hundred forty-six thousand, four hundred ninety-six".