3703742820 has 168 divisors, whose sum is σ = 11883961656. Its totient is φ = 968827392.

The previous prime is 3703742813. The next prime is 3703742837. The reversal of 3703742820 is 282473073.

3703742820 is a `hidden beast` number, since 3 + 7 + 0 + 374 + 282 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1320740964 + 2383001856 = 36342^2 + 48816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 770344 + ... + 775136.

It is an arithmetic number, because the mean of its divisors is an integer number (70737867).

Almost surely, 2^3703742820 is an apocalyptic number.

3703742820 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 3703742820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941980828).

3703742820 is an abundant number, since it is smaller than the sum of its proper divisors (8180218836).

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

3703742820 is a wasteful number, since it uses less digits than its factorization.

3703742820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3703742820 is about 60858.3833173376. The cubic root of 3703742820 is about 1547.2017247047.

The spelling of 3703742820 in words is "three billion, seven hundred three million, seven hundred forty-two thousand, eight hundred twenty".