3504381000 has 256 divisors, whose sum is σ = 11361841920. Its totient is φ = 898560000.

The previous prime is 3504380989. The next prime is 3504381043. The reversal of 3504381000 is 1834053.

It is a super-2 number, since 2×3504381000² = 24561372386322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14540880 + ... + 14541120.

It is an arithmetic number, because the mean of its divisors is an integer number (44382195).

Almost surely, 2^3504381000 is an apocalyptic number.

3504381000 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 3504381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680920960).

3504381000 is an abundant number, since it is smaller than the sum of its proper divisors (7857460920).

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

3504381000 is a wasteful number, since it uses less digits than its factorization.

3504381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3504381000 is about 59197.8124595833. The cubic root of 3504381000 is about 1518.9277121045.

The spelling of 3504381000 in words is "three billion, five hundred four million, three hundred eighty-one thousand".