3890413800 has 1080 divisors, whose sum is σ = 17607006450. Its totient is φ = 792529920.

The previous prime is 3890413783. The next prime is 3890413817. The reversal of 3890413800 is 83140983.

It is an interprime number because it is at equal distance from previous prime (3890413783) and next prime (3890413817).

It can be written as a sum of positive squares in 9 ways, for example, as 63011844 + 3827401956 = 7938^2 + 61866^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 134152186 + ... + 134152214.

Almost surely, 2^3890413800 is an apocalyptic number.

3890413800 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 3890413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803503225).

3890413800 is an abundant number, since it is smaller than the sum of its proper divisors (13716592650).

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

3890413800 is a wasteful number, since it uses less digits than its factorization.

3890413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

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

The square root of 3890413800 is about 62373.1817370254. The cubic root of 3890413800 is about 1572.7701779301.

The spelling of 3890413800 in words is "three billion, eight hundred ninety million, four hundred thirteen thousand, eight hundred".