3703407840 has 432 divisors, whose sum is σ = 14663572560. Its totient is φ = 843939840.

The previous prime is 3703407821. The next prime is 3703407919. The reversal of 3703407840 is 487043073.

3703407840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3703407795 and 3703407804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4577356 + ... + 4578164.

It is an arithmetic number, because the mean of its divisors is an integer number (33943455).

Almost surely, 2^3703407840 is an apocalyptic number.

3703407840 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 3703407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331786280).

3703407840 is an abundant number, since it is smaller than the sum of its proper divisors (10960164720).

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

3703407840 is a wasteful number, since it uses less digits than its factorization.

3703407840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 847 counting only the distinct ones).

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

The square root of 3703407840 is about 60855.6311281051. The cubic root of 3703407840 is about 1547.1550784440.

The spelling of 3703407840 in words is "three billion, seven hundred three million, four hundred seven thousand, eight hundred forty".