3654858240 has 960 divisors, whose sum is σ = 15673996800. Its totient is φ = 802897920.

The previous prime is 3654858239. The next prime is 3654858281. The reversal of 3654858240 is 428584563.

3654858240 is a `hidden beast` number, since 3 + 65 + 4 + 8 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 158906869 + ... + 158906891.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2^3654858240 is an apocalyptic number.

3654858240 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 3654858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836998400).

3654858240 is an abundant number, since it is smaller than the sum of its proper divisors (12019138560).

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

3654858240 is a wasteful number, since it uses less digits than its factorization.

3654858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3654858240 is about 60455.4235780381. The cubic root of 3654858240 is about 1540.3645395519.

The spelling of 3654858240 in words is "three billion, six hundred fifty-four million, eight hundred fifty-eight thousand, two hundred forty".