3546590400 has 336 divisors, whose sum is σ = 13181076000. Its totient is φ = 927313920.

The previous prime is 3546590389. The next prime is 3546590413. The reversal of 3546590400 is 40956453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2288826 + ... + 2290374.

Almost surely, 2^3546590400 is an apocalyptic number.

3546590400 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 3546590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590538000).

3546590400 is an abundant number, since it is smaller than the sum of its proper divisors (9634485600).

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

3546590400 is a wasteful number, since it uses less digits than its factorization.

3546590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3546590400 is about 59553.2568378926. The cubic root of 3546590400 is about 1525.0017593816.

The spelling of 3546590400 in words is "three billion, five hundred forty-six million, five hundred ninety thousand, four hundred".