3918146400 has 648 divisors, whose sum is σ = 16835953680. Its totient is φ = 839761920.

The previous prime is 3918146387. The next prime is 3918146467. The reversal of 3918146400 is 46418193.

3918146400 is a `hidden beast` number, since 3 + 9 + 1 + 8 + 1 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14565466 + ... + 14565734.

It is an arithmetic number, because the mean of its divisors is an integer number (25981410).

Almost surely, 2^3918146400 is an apocalyptic number.

3918146400 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 3918146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417976840).

3918146400 is an abundant number, since it is smaller than the sum of its proper divisors (12917807280).

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

3918146400 is a wasteful number, since it uses less digits than its factorization.

3918146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3918146400 is about 62595.0988496703. The cubic root of 3918146400 is about 1576.4984680728.

The spelling of 3918146400 in words is "three billion, nine hundred eighteen million, one hundred forty-six thousand, four hundred".