3812661600 has 432 divisors, whose sum is σ = 14379704640. Its totient is φ = 874368000.

The previous prime is 3812661569. The next prime is 3812661647. The reversal of 3812661600 is 61662183.

It is a super-2 number, since 2×3812661600² = 29072776952229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5517255 + ... + 5517945.

Almost surely, 2^3812661600 is an apocalyptic number.

3812661600 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 3812661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189852320).

3812661600 is an abundant number, since it is smaller than the sum of its proper divisors (10567043040).

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

3812661600 is a wasteful number, since it uses less digits than its factorization.

3812661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3812661600 is about 61746.7537608254. The cubic root of 3812661600 is about 1562.2220143329. Note that the first 3 decimals are identical.

The spelling of 3812661600 in words is "three billion, eight hundred twelve million, six hundred sixty-one thousand, six hundred".