3678048550400 has 540 divisors, whose sum is σ = 10734328630872. Its totient is φ = 1223452016640.

The previous prime is 3678048550399. The next prime is 3678048550427. The reversal of 3678048550400 is 40558408763.

It is a super-2 number, since 2×3678048550400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24684889526 + ... + 24684889674.

Almost surely, 2^{3678048550400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678048550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367164315436).

3678048550400 is an abundant number, since it is smaller than the sum of its proper divisors (7056280080472).

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

3678048550400 is an frugal number, since it uses more digits than its factorization.

3678048550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 3678048550400 in words is "three trillion, six hundred seventy-eight billion, forty-eight million, five hundred fifty thousand, four hundred".