3746640000 has 320 divisors, whose sum is σ = 12675817440. Its totient is φ = 979968000.

The previous prime is 3746639999. The next prime is 3746640011. The reversal of 3746640000 is 466473.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3746640000² = 28074622579200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3746640000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16079884 + ... + 16080116.

Almost surely, 2^3746640000 is an apocalyptic number.

3746640000 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 3746640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337908720).

3746640000 is an abundant number, since it is smaller than the sum of its proper divisors (8929177440).

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

3746640000 is an equidigital number, since it uses as much as digits as its factorization.

3746640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3746640000 is about 61209.8031364258. The cubic root of 3746640000 is about 1553.1521009350.

The spelling of 3746640000 in words is "three billion, seven hundred forty-six million, six hundred forty thousand".