3703402560 has 448 divisors, whose sum is σ = 14102242560. Its totient is φ = 811499520.

The previous prime is 3703402559. The next prime is 3703402561. The reversal of 3703402560 is 652043073.

It is an interprime number because it is at equal distance from previous prime (3703402559) and next prime (3703402561).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3703402561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7275586 + ... + 7276094.

It is an arithmetic number, because the mean of its divisors is an integer number (31478220).

Almost surely, 2^3703402560 is an apocalyptic number.

3703402560 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 3703402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051121280).

3703402560 is an abundant number, since it is smaller than the sum of its proper divisors (10398840000).

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

3703402560 is a wasteful number, since it uses less digits than its factorization.

3703402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3703402560 is about 60855.5877467304. The cubic root of 3703402560 is about 1547.1543431768.

The spelling of 3703402560 in words is "three billion, seven hundred three million, four hundred two thousand, five hundred sixty".