3482740800 has 840 divisors, whose sum is σ = 16006267200. Its totient is φ = 721612800.

The previous prime is 3482740783. The next prime is 3482740817. The reversal of 3482740800 is 80472843.

It is an interprime number because it is at equal distance from previous prime (3482740783) and next prime (3482740817).

It is a tau number, because it is divible by the number of its divisors (840).

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

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, 9979026 + ... + 9979374.

It is an arithmetic number, because the mean of its divisors is an integer number (19055080).

Almost surely, 2^3482740800 is an apocalyptic number.

3482740800 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 3482740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003133600).

3482740800 is an abundant number, since it is smaller than the sum of its proper divisors (12523526400).

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

3482740800 is a wasteful number, since it uses less digits than its factorization.

3482740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

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

The square root of 3482740800 is about 59014.7506984483. The cubic root of 3482740800 is about 1515.7947011881.

The spelling of 3482740800 in words is "three billion, four hundred eighty-two million, seven hundred forty thousand, eight hundred".