3573648400 has 225 divisors, whose sum is σ = 10182931863. Its totient is φ = 1205164800.

The previous prime is 3573648373. The next prime is 3573648427. The reversal of 3573648400 is 48463753.

The square root of 3573648400 is 59780.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3573648373) and next prime (3573648427).

It can be written as a sum of positive squares in 4 ways, for example, as 1646087184 + 1927561216 = 40572^2 + 43904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58584370 + ... + 58584430.

Almost surely, 2^3573648400 is an apocalyptic number.

3573648400 is the 59780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3573648400

3573648400 is an abundant number, since it is smaller than the sum of its proper divisors (6609283463).

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

3573648400 is an frugal number, since it uses more digits than its factorization.

3573648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The cubic root of 3573648400 is about 1528.8701699110.

The spelling of 3573648400 in words is "three billion, five hundred seventy-three million, six hundred forty-eight thousand, four hundred".