3670441440 has 192 divisors, whose sum is σ = 12573900864. Its totient is φ = 896237568.

The previous prime is 3670441421. The next prime is 3670441441. The reversal of 3670441440 is 441440763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3670441441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295842 + ... + 307998.

It is an arithmetic number, because the mean of its divisors is an integer number (65489067).

Almost surely, 2^3670441440 is an apocalyptic number.

3670441440 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 3670441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286950432).

3670441440 is an abundant number, since it is smaller than the sum of its proper divisors (8903459424).

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

3670441440 is a wasteful number, since it uses less digits than its factorization.

3670441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3670441440 is about 60584.1682290019. The cubic root of 3670441440 is about 1542.5506502688.

The spelling of 3670441440 in words is "three billion, six hundred seventy million, four hundred forty-one thousand, four hundred forty".