3869960640 has 448 divisors, whose sum is σ = 15621365760. Its totient is φ = 789626880.

The previous prime is 3869960587. The next prime is 3869960663. The reversal of 3869960640 is 460699683.

3869960640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 2707446 + ... + 2708874.

It is an arithmetic number, because the mean of its divisors is an integer number (34869120).

Almost surely, 2^3869960640 is an apocalyptic number.

3869960640 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 3869960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810682880).

3869960640 is an abundant number, since it is smaller than the sum of its proper divisors (11751405120).

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

3869960640 is a wasteful number, since it uses less digits than its factorization.

3869960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 3869960640 is about 62209.0077078874. The cubic root of 3869960640 is about 1570.0091470385.

The spelling of 3869960640 in words is "three billion, eight hundred sixty-nine million, nine hundred sixty thousand, six hundred forty".