3801062400 has 264 divisors, whose sum is σ = 12866033664. Its totient is φ = 989184000.

The previous prime is 3801062387. The next prime is 3801062411. The reversal of 3801062400 is 42601083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3301825 + ... + 3302975.

It is an arithmetic number, because the mean of its divisors is an integer number (48734976).

Almost surely, 2^3801062400 is an apocalyptic number.

3801062400 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 3801062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433016832).

3801062400 is an abundant number, since it is smaller than the sum of its proper divisors (9064971264).

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

3801062400 is a wasteful number, since it uses less digits than its factorization.

3801062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3801062400 is about 61652.7566293674. The cubic root of 3801062400 is about 1560.6361639444.

Adding to 3801062400 its reverse (42601083), we get a palindrome (3843663483).

The spelling of 3801062400 in words is "three billion, eight hundred one million, sixty-two thousand, four hundred".