3659919120 has 960 divisors, whose sum is σ = 16116468480. Its totient is φ = 752025600.

The previous prime is 3659919119. The next prime is 3659919127. The reversal of 3659919120 is 219199563.

It is a happy number.

3659919120 is a `hidden beast` number, since 36 + 599 + 1 + 9 + 1 + 20 = 666.

3659919120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3659919127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89266300 + ... + 89266340.

It is an arithmetic number, because the mean of its divisors is an integer number (16787988).

Almost surely, 2^3659919120 is an apocalyptic number.

3659919120 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 3659919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058234240).

3659919120 is an abundant number, since it is smaller than the sum of its proper divisors (12456549360).

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

3659919120 is a wasteful number, since it uses less digits than its factorization.

3659919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 3659919120 is about 60497.2653927432. The cubic root of 3659919120 is about 1541.0751922555.

The spelling of 3659919120 in words is "three billion, six hundred fifty-nine million, nine hundred nineteen thousand, one hundred twenty".