3500381952 has 108 divisors (see below), whose sum is σ = 10466445080. Its totient is φ = 1166773248.

The previous prime is 3500381909. The next prime is 3500381953. The reversal of 3500381952 is 2591830053.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500381953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34074 + ... + 90342.

Almost surely, 2^3500381952 is an apocalyptic number.

3500381952 is a gapful number since it is divisible by the number (32) 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 3500381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233222540).

3500381952 is an abundant number, since it is smaller than the sum of its proper divisors (6966063128).

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

3500381952 is an frugal number, since it uses more digits than its factorization.

3500381952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56300 (or 56274 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3500381952 is about 59164.0258265105. The cubic root of 3500381952 is about 1518.3497139875.

The spelling of 3500381952 in words is "three billion, five hundred million, three hundred eighty-one thousand, nine hundred fifty-two".