5341845600 has 864 divisors, whose sum is σ = 24022462464. Its totient is φ = 1086566400.

The previous prime is 5341845589. The next prime is 5341845601. The reversal of 5341845600 is 65481435.

It is a happy number.

5341845600 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 8 + 45 + 600 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341845601) 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, 20311069 + ... + 20311331.

It is an arithmetic number, because the mean of its divisors is an integer number (27803776).

Almost surely, 2^5341845600 is an apocalyptic number.

5341845600 is a gapful number since it is divisible by the number (50) 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 5341845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011231232).

5341845600 is an abundant number, since it is smaller than the sum of its proper divisors (18680616864).

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

5341845600 is a wasteful number, since it uses less digits than its factorization.

5341845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5341845600 is about 73087.9306041702. The cubic root of 5341845600 is about 1748.0899541250.

The spelling of 5341845600 in words is "five billion, three hundred forty-one million, eight hundred forty-five thousand, six hundred".