3812913000 has 768 divisors, whose sum is σ = 15454333440. Its totient is φ = 870912000.

The previous prime is 3812912969. The next prime is 3812913001. The reversal of 3812913000 is 3192183.

3812913000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3812913001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53702965 + ... + 53703035.

It is an arithmetic number, because the mean of its divisors is an integer number (20122830).

Almost surely, 2^3812913000 is an apocalyptic number.

3812913000 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 3812913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727166720).

3812913000 is an abundant number, since it is smaller than the sum of its proper divisors (11641420440).

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

3812913000 is a wasteful number, since it uses less digits than its factorization.

3812913000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3812913000 is about 61748.7894618186. The cubic root of 3812913000 is about 1562.2563502749.

The spelling of 3812913000 in words is "three billion, eight hundred twelve million, nine hundred thirteen thousand".