3890836800 has 252 divisors, whose sum is σ = 13925121756. Its totient is φ = 1030348800.

The previous prime is 3890836799. The next prime is 3890836847. The reversal of 3890836800 is 86380983.

It can be written as a sum of positive squares in 6 ways, for example, as 59721984 + 3831114816 = 7728^2 + 61896^2 .

It is a super-2 number, since 2×3890836800² = 30277222008468480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2259940 + ... + 2261660.

Almost surely, 2^3890836800 is an apocalyptic number.

3890836800 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 3890836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962560878).

3890836800 is an abundant number, since it is smaller than the sum of its proper divisors (10034284956).

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

3890836800 is a wasteful number, since it uses less digits than its factorization.

3890836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3890836800 is about 62376.5725252678. The cubic root of 3890836800 is about 1572.8271776658.

The spelling of 3890836800 in words is "three billion, eight hundred ninety million, eight hundred thirty-six thousand, eight hundred".