3657422630400 has 480 divisors, whose sum is σ = 15063368525568. Its totient is φ = 759983308800.

The previous prime is 3657422630399. The next prime is 3657422630413. The reversal of 3657422630400 is 40362247563.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2338324 + ... + 3575276.

Almost surely, 2^{3657422630400} is an apocalyptic number.

3657422630400 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 3657422630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531684262784).

3657422630400 is an abundant number, since it is smaller than the sum of its proper divisors (11405945895168).

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

3657422630400 is a wasteful number, since it uses less digits than its factorization.

3657422630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237002 (or 1236981 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

Adding to 3657422630400 its reverse (40362247563), we get a palindrome (3697784877963).

The spelling of 3657422630400 in words is "three trillion, six hundred fifty-seven billion, four hundred twenty-two million, six hundred thirty thousand, four hundred".