3619249920 has 540 divisors, whose sum is σ = 14798956536. Its totient is φ = 809902080.

The previous prime is 3619249897. The next prime is 3619249957. The reversal of 3619249920 is 299429163.

It is a happy number.

3619249920 is a `hidden beast` number, since 3 + 619 + 2 + 4 + 9 + 9 + 20 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 278403834 + ... + 278403846.

Almost surely, 2^3619249920 is an apocalyptic number.

3619249920 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 3619249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399478268).

3619249920 is an abundant number, since it is smaller than the sum of its proper divisors (11179706616).

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

3619249920 is an equidigital number, since it uses as much as digits as its factorization.

3619249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3619249920 is about 60160.2021273200. The cubic root of 3619249920 is about 1535.3457500115.

The spelling of 3619249920 in words is "three billion, six hundred nineteen million, two hundred forty-nine thousand, nine hundred twenty".