3757006890000 has 2025 divisors, whose sum is σ = 16786409683329. Its totient is φ = 781522560000.

The previous prime is 3757006889983. The next prime is 3757006890001. The reversal of 3757006890000 is 986007573.

It is a happy number.

The square root of 3757006890000 is 1938300.

It is a perfect power (a square), and thus also a powerful number.

3757006890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3710909082384 + 46097807616 = 1926372^2 + 214704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3757006890001) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 52915589965 + ... + 52915590035.

Almost surely, 2^{3757006890000} is an apocalyptic number.

3757006890000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3757006890000 is the 1938300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3757006890000

3757006890000 is an abundant number, since it is smaller than the sum of its proper divisors (13029402793329).

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

3757006890000 is a wasteful number, since it uses less digits than its factorization.

3757006890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 3757006890000 in words is "three trillion, seven hundred fifty-seven billion, six million, eight hundred ninety thousand".