3484782000 has 600 divisors, whose sum is σ = 14675712480. Its totient is φ = 794707200.

The previous prime is 3484781999. The next prime is 3484782011. The reversal of 3484782000 is 2874843.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7937781 + ... + 7938219.

Almost surely, 2^3484782000 is an apocalyptic number.

3484782000 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 3484782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337856240).

3484782000 is an abundant number, since it is smaller than the sum of its proper divisors (11190930480).

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

3484782000 is a wasteful number, since it uses less digits than its factorization.

3484782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3484782000 is about 59032.0421466173. The cubic root of 3484782000 is about 1516.0907741238.

The spelling of 3484782000 in words is "three billion, four hundred eighty-four million, seven hundred eighty-two thousand".