3746375540 has 96 divisors (see below), whose sum is σ = 8418816000. Its totient is φ = 1396362240.

The previous prime is 3746375509. The next prime is 3746375579. The reversal of 3746375540 is 455736473.

It is a junction number, because it is equal to n+sod(n) for n = 3746375491 and 3746375500.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7190480 + ... + 7191000.

It is an arithmetic number, because the mean of its divisors is an integer number (87696000).

Almost surely, 2^3746375540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746375540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209408000).

3746375540 is an abundant number, since it is smaller than the sum of its proper divisors (4672440460).

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

3746375540 is a wasteful number, since it uses less digits than its factorization.

3746375540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 44.

The square root of 3746375540 is about 61207.6428234252. The cubic root of 3746375540 is about 1553.1155565228.

The spelling of 3746375540 in words is "three billion, seven hundred forty-six million, three hundred seventy-five thousand, five hundred forty".