3818102400 has 768 divisors, whose sum is σ = 16391808000. Its totient is φ = 849899520.

The previous prime is 3818102377. The next prime is 3818102411. The reversal of 3818102400 is 42018183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35683147 + ... + 35683253.

It is an arithmetic number, because the mean of its divisors is an integer number (21343500).

Almost surely, 2^3818102400 is an apocalyptic number.

3818102400 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 3818102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195904000).

3818102400 is an abundant number, since it is smaller than the sum of its proper divisors (12573705600).

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

3818102400 is a wasteful number, since it uses less digits than its factorization.

3818102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3818102400 is about 61790.7954310349. The cubic root of 3818102400 is about 1562.9647760822.

The spelling of 3818102400 in words is "three billion, eight hundred eighteen million, one hundred two thousand, four hundred".