3545216640 has 768 divisors, whose sum is σ = 15069888000. Its totient is φ = 784982016.

The previous prime is 3545216639. The next prime is 3545216683. The reversal of 3545216640 is 466125453.

3545216640 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 2 + 1 + 6 + 640 = 666.

3545216640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3545216640² = 25137122049065779200, which contains 22 as substring.

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 = 3545216595 and 3545216604.

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, 44876121 + ... + 44876199.

It is an arithmetic number, because the mean of its divisors is an integer number (19622250).

Almost surely, 2^3545216640 is an apocalyptic number.

3545216640 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 3545216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534944000).

3545216640 is an abundant number, since it is smaller than the sum of its proper divisors (11524671360).

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

3545216640 is a wasteful number, since it uses less digits than its factorization.

3545216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3545216640 is about 59541.7218427549. The cubic root of 3545216640 is about 1524.8048324994.

The spelling of 3545216640 in words is "three billion, five hundred forty-five million, two hundred sixteen thousand, six hundred forty".