3678605150400 has 588 divisors, whose sum is σ = 13616824955272. Its totient is φ = 977670881280.

The previous prime is 3678605150359. The next prime is 3678605150419. The reversal of 3678605150400 is 40515068763.

3678605150400 is a `hidden beast` number, since 3 + 6 + 78 + 60 + 515 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 358079664 + ... + 358089936.

Almost surely, 2^{3678605150400} is an apocalyptic number.

3678605150400 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 3678605150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808412477636).

3678605150400 is an abundant number, since it is smaller than the sum of its proper divisors (9938219804872).

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

3678605150400 is a wasteful number, since it uses less digits than its factorization.

3678605150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3678605150400 in words is "three trillion, six hundred seventy-eight billion, six hundred five million, one hundred fifty thousand, four hundred".