3675709440 has 504 divisors, whose sum is σ = 14031056520. Its totient is φ = 889454592.

The previous prime is 3675709421. The next prime is 3675709469. The reversal of 3675709440 is 449075763.

3675709440 is a `hidden beast` number, since 36 + 7 + 570 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×3675709440² = 27021679774610227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62300131 + ... + 62300189.

Almost surely, 2^3675709440 is an apocalyptic number.

3675709440 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 3675709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015528260).

3675709440 is an abundant number, since it is smaller than the sum of its proper divisors (10355347080).

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

3675709440 is a wasteful number, since it uses less digits than its factorization.

3675709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3675709440 is about 60627.6293450437. The cubic root of 3675709440 is about 1543.2882792767.

The spelling of 3675709440 in words is "three billion, six hundred seventy-five million, seven hundred nine thousand, four hundred forty".