3751405253640 has 512 divisors, whose sum is σ = 13784981760000. Its totient is φ = 899887242240.

The previous prime is 3751405253639. The next prime is 3751405253657. The reversal of 3751405253640 is 463525041573.

3751405253640 is a `hidden beast` number, since 3 + 7 + 51 + 4 + 0 + 525 + 36 + 40 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1319522059 + ... + 1319524901.

It is an arithmetic number, because the mean of its divisors is an integer number (26923792500).

Almost surely, 2^{3751405253640} is an apocalyptic number.

3751405253640 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 3751405253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892490880000).

3751405253640 is an abundant number, since it is smaller than the sum of its proper divisors (10033576506360).

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

3751405253640 is a wasteful number, since it uses less digits than its factorization.

3751405253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 3751405253640 in words is "three trillion, seven hundred fifty-one billion, four hundred five million, two hundred fifty-three thousand, six hundred forty".