3541162800 has 240 divisors, whose sum is σ = 13528419840. Its totient is φ = 774174720.

The previous prime is 3541162771. The next prime is 3541162813. The reversal of 3541162800 is 82611453.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3541162800² = 25079667952207680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184036 + ... + 202364.

It is an arithmetic number, because the mean of its divisors is an integer number (56368416).

Almost surely, 2^3541162800 is an apocalyptic number.

3541162800 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 3541162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764209920).

3541162800 is an abundant number, since it is smaller than the sum of its proper divisors (9987257040).

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

3541162800 is a wasteful number, since it uses less digits than its factorization.

3541162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3541162800 is about 59507.6700938627. The cubic root of 3541162800 is about 1524.2234225798.

The spelling of 3541162800 in words is "three billion, five hundred forty-one million, one hundred sixty-two thousand, eight hundred".