3703859640 has 384 divisors, whose sum is σ = 13484016000. Its totient is φ = 875888640.

The previous prime is 3703859611. The next prime is 3703859641. The reversal of 3703859640 is 469583073.

3703859640 is digitally balanced in base 2 and base 4, because in such bases 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3703859641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18612261 + ... + 18612459.

It is an arithmetic number, because the mean of its divisors is an integer number (35114625).

Almost surely, 2^3703859640 is an apocalyptic number.

3703859640 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 3703859640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742008000).

3703859640 is an abundant number, since it is smaller than the sum of its proper divisors (9780156360).

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

3703859640 is a wasteful number, since it uses less digits than its factorization.

3703859640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3703859640 is about 60859.3430789390. The cubic root of 3703859640 is about 1547.2179913313.

The spelling of 3703859640 in words is "three billion, seven hundred three million, eight hundred fifty-nine thousand, six hundred forty".