3712343040 has 528 divisors, whose sum is σ = 15588510912. Its totient is φ = 797442048.

The previous prime is 3712343039. The next prime is 3712343059. The reversal of 3712343040 is 403432173.

It is a Cunningham number, because it is equal to 60929²-1.

It is a junction number, because it is equal to n+sod(n) for n = 3712342995 and 3712343013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5483182 + ... + 5483858.

Almost surely, 2^3712343040 is an apocalyptic number.

3712343040 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 3712343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794255456).

3712343040 is an abundant number, since it is smaller than the sum of its proper divisors (11876167872).

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

3712343040 is a wasteful number, since it uses less digits than its factorization.

3712343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3712343040 is about 60928.9999917937. Note that the first 5 decimals coincide. The cubic root of 3712343040 is about 1548.3983511010.

The spelling of 3712343040 in words is "three billion, seven hundred twelve million, three hundred forty-three thousand, forty".