3654349440 has 512 divisors, whose sum is σ = 14100480000. Its totient is φ = 803819520.

The previous prime is 3654349397. The next prime is 3654349441. The reversal of 3654349440 is 449434563.

It is a super-3 number, since 3×3654349440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3654349392 and 3654349401.

It is not an unprimeable number, because it can be changed into a prime (3654349441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20415271 + ... + 20415449.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

Almost surely, 2^3654349440 is an apocalyptic number.

3654349440 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 3654349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240000).

3654349440 is an abundant number, since it is smaller than the sum of its proper divisors (10446130560).

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

3654349440 is a wasteful number, since it uses less digits than its factorization.

3654349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3654349440 is about 60451.2153723976. The cubic root of 3654349440 is about 1540.2930571763.

The spelling of 3654349440 in words is "three billion, six hundred fifty-four million, three hundred forty-nine thousand, four hundred forty".