3826770998400 has 1152 divisors, whose sum is σ = 16621727391360. Its totient is φ = 851005440000.

The previous prime is 3826770998389. The next prime is 3826770998431. The reversal of 3826770998400 is 48990776283.

3826770998400 is a `hidden beast` number, since 3 + 82 + 67 + 7 + 0 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201388900 + ... + 201407900.

It is an arithmetic number, because the mean of its divisors is an integer number (14428582805).

Almost surely, 2^{3826770998400} is an apocalyptic number.

3826770998400 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 3826770998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310863695680).

3826770998400 is an abundant number, since it is smaller than the sum of its proper divisors (12794956392960).

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

3826770998400 is a wasteful number, since it uses less digits than its factorization.

3826770998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19084 (or 19055 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3826770998400 in words is "three trillion, eight hundred twenty-six billion, seven hundred seventy million, nine hundred ninety-eight thousand, four hundred".