3661406400 has 252 divisors, whose sum is σ = 12683974632. Its totient is φ = 924549120.

The previous prime is 3661406389. The next prime is 3661406417. The reversal of 3661406400 is 46041663.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1731744 + ... + 1733856.

Almost surely, 2^3661406400 is an apocalyptic number.

3661406400 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 3661406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341987316).

3661406400 is an abundant number, since it is smaller than the sum of its proper divisors (9022568232).

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

3661406400 is a wasteful number, since it uses less digits than its factorization.

3661406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3661406400 is about 60509.5562700637. The cubic root of 3661406400 is about 1541.2839127071.

The spelling of 3661406400 in words is "three billion, six hundred sixty-one million, four hundred six thousand, four hundred".