3651575040 has 576 divisors, whose sum is σ = 14010393600. Its totient is φ = 897785856.

The previous prime is 3651575023. The next prime is 3651575041. The reversal of 3651575040 is 405751563.

3651575040 is a `hidden beast` number, since 36 + 51 + 575 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 3651574986 and 3651575004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3651575041) 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, 43994839 + ... + 43994921.

It is an arithmetic number, because the mean of its divisors is an integer number (24323600).

Almost surely, 2^3651575040 is an apocalyptic number.

3651575040 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 3651575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005196800).

3651575040 is an abundant number, since it is smaller than the sum of its proper divisors (10358818560).

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

3651575040 is a wasteful number, since it uses less digits than its factorization.

3651575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 3651575040 is about 60428.2635858420. The cubic root of 3651575040 is about 1539.9031591435.

The spelling of 3651575040 in words is "three billion, six hundred fifty-one million, five hundred seventy-five thousand, forty".