3619945056 has 384 divisors, whose sum is σ = 12484039680. Its totient is φ = 891813888.

The previous prime is 3619945027. The next prime is 3619945081. The reversal of 3619945056 is 6505499163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3619944996 and 3619945014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18756096 + ... + 18756288.

It is an arithmetic number, because the mean of its divisors is an integer number (32510520).

Almost surely, 2^3619945056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3619945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242019840).

3619945056 is an abundant number, since it is smaller than the sum of its proper divisors (8864094624).

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

3619945056 is a wasteful number, since it uses less digits than its factorization.

3619945056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 3619945056 is about 60165.9792241429. The cubic root of 3619945056 is about 1535.4440397866. Note that the first 3 decimals are identical.

The spelling of 3619945056 in words is "three billion, six hundred nineteen million, nine hundred forty-five thousand, fifty-six".