3035672640 has 1176 divisors, whose sum is σ = 14631789888. Its totient is φ = 582266880.

The previous prime is 3035672623. The next prime is 3035672657. The reversal of 3035672640 is 462765303.

3035672640 is a `hidden beast` number, since 3 + 0 + 3 + 5 + 6 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3035672623) and next prime (3035672657).

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 = 3035672595 and 3035672604.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 233513274 + ... + 233513286.

Almost surely, 2^3035672640 is an apocalyptic number.

3035672640 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 3035672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315894944).

3035672640 is an abundant number, since it is smaller than the sum of its proper divisors (11596117248).

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

3035672640 is a wasteful number, since it uses less digits than its factorization.

3035672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3035672640 is about 55096.9385719388. The cubic root of 3035672640 is about 1447.9435994434.

The spelling of 3035672640 in words is "three billion, thirty-five million, six hundred seventy-two thousand, six hundred forty".