3705200640 has 504 divisors, whose sum is σ = 14133286440. Its totient is φ = 895352832.

The previous prime is 3705200633. The next prime is 3705200647. The reversal of 3705200640 is 460025073.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3705200633) and next prime (3705200647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705200647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161095669 + ... + 161095691.

It is an arithmetic number, because the mean of its divisors is an integer number (28042235).

Almost surely, 2^3705200640 is an apocalyptic number.

3705200640 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 3705200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066643220).

3705200640 is an abundant number, since it is smaller than the sum of its proper divisors (10428085800).

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

3705200640 is a wasteful number, since it uses less digits than its factorization.

3705200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3705200640 is about 60870.3592892304. The cubic root of 3705200640 is about 1547.4046946786.

The spelling of 3705200640 in words is "three billion, seven hundred five million, two hundred thousand, six hundred forty".