3741182640 has 400 divisors, whose sum is σ = 14178780000. Its totient is φ = 908734464.

The previous prime is 3741182633. The next prime is 3741182651. The reversal of 3741182640 is 462811473.

3741182640 is a `hidden beast` number, since 3 + 7 + 4 + 1 + 1 + 8 + 2 + 640 = 666.

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 = 3741182595 and 3741182604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7497111 + ... + 7497609.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 2^3741182640 is an apocalyptic number.

3741182640 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 3741182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089390000).

3741182640 is an abundant number, since it is smaller than the sum of its proper divisors (10437597360).

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

3741182640 is a wasteful number, since it uses less digits than its factorization.

3741182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3741182640 is about 61165.2077573517. The cubic root of 3741182640 is about 1552.3976267999.

The spelling of 3741182640 in words is "three billion, seven hundred forty-one million, one hundred eighty-two thousand, six hundred forty".