3744025948656 has 280 divisors, whose sum is σ = 12441457026144. Its totient is φ = 1068720998400.

The previous prime is 3744025948651. The next prime is 3744025948697. The reversal of 3744025948656 is 6568495204473.

3744025948656 is a `hidden beast` number, since 3 + 7 + 440 + 25 + 94 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3744025948593 and 3744025948602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744025948651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 89546956 + ... + 89588756.

Almost surely, 2^{3744025948656} is an apocalyptic number.

3744025948656 is a gapful number since it is divisible by the number (36) 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 3744025948656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220728513072).

3744025948656 is an abundant number, since it is smaller than the sum of its proper divisors (8697431077488).

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

3744025948656 is a wasteful number, since it uses less digits than its factorization.

3744025948656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42931 (or 42910 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 3744025948656 in words is "three trillion, seven hundred forty-four billion, twenty-five million, nine hundred forty-eight thousand, six hundred fifty-six".