3700010845440 has 1728 divisors, whose sum is σ = 16785786640896. Its totient is φ = 759347675136.

The previous prime is 3700010845387. The next prime is 3700010845441. The reversal of 3700010845440 is 445480100073.

3700010845440 is a `hidden beast` number, since 3 + 7 + 0 + 0 + 0 + 108 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3700010845395 and 3700010845404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3700010845441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1047269914 + ... + 1047273446.

Almost surely, 2^{3700010845440} is an apocalyptic number.

3700010845440 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 3700010845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392893320448).

3700010845440 is an abundant number, since it is smaller than the sum of its proper divisors (13085775795456).

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

3700010845440 is a wasteful number, since it uses less digits than its factorization.

3700010845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 3700010845440 in words is "three trillion, seven hundred billion, ten million, eight hundred forty-five thousand, four hundred forty".