3678807770400 has 1728 divisors, whose sum is σ = 15272742481920. Its totient is φ = 763964006400.

The previous prime is 3678807770347. The next prime is 3678807770447. The reversal of 3678807770400 is 40777088763.

It is a super-2 number, since 2×3678807770400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11983087047 + ... + 11983087353.

It is an arithmetic number, because the mean of its divisors is an integer number (8838392640).

Almost surely, 2^{3678807770400} is an apocalyptic number.

3678807770400 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 3678807770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636371240960).

3678807770400 is an abundant number, since it is smaller than the sum of its proper divisors (11593934711520).

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

3678807770400 is a wasteful number, since it uses less digits than its factorization.

3678807770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 57.

The spelling of 3678807770400 in words is "three trillion, six hundred seventy-eight billion, eight hundred seven million, seven hundred seventy thousand, four hundred".