3484845000 has 960 divisors, whose sum is σ = 15556020480. Its totient is φ = 684288000.

The previous prime is 3484844941. The next prime is 3484845031. The reversal of 3484845000 is 5484843.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 239 ways as a sum of consecutive naturals, for example, 94184982 + ... + 94185018.

It is an arithmetic number, because the mean of its divisors is an integer number (16204188).

Almost surely, 2^3484845000 is an apocalyptic number.

3484845000 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 3484845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778010240).

3484845000 is an abundant number, since it is smaller than the sum of its proper divisors (12071175480).

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

3484845000 is a wasteful number, since it uses less digits than its factorization.

3484845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3484845000 is about 59032.5757527147. The cubic root of 3484845000 is about 1516.0999103379.

It can be divided in two parts, 34848 and 45000, that multiplied together give a square (1568160000 = 39600²).

The spelling of 3484845000 in words is "three billion, four hundred eighty-four million, eight hundred forty-five thousand".