3746880000 has 300 divisors, whose sum is σ = 13523247738. Its totient is φ = 998400000.

The previous prime is 3746879989. The next prime is 3746880037. The reversal of 3746880000 is 886473.

It can be written as a sum of positive squares in 5 ways, for example, as 255488256 + 3491391744 = 15984^2 + 59088^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 29 ways as a sum of consecutive naturals, for example, 2879350 + ... + 2880650.

Almost surely, 2^3746880000 is an apocalyptic number.

3746880000 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 3746880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761623869).

3746880000 is an abundant number, since it is smaller than the sum of its proper divisors (9776367738).

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

3746880000 is an equidigital number, since it uses as much as digits as its factorization.

3746880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3746880000 is about 61211.7635753129. The cubic root of 3746880000 is about 1553.1852638530.

The spelling of 3746880000 in words is "three billion, seven hundred forty-six million, eight hundred eighty thousand".