3484348400 has 240 divisors, whose sum is σ = 9342672864. Its totient is φ = 1240842240.

The previous prime is 3484348379. The next prime is 3484348429. The reversal of 3484348400 is 48434843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25433132 + ... + 25433268.

Almost surely, 2^3484348400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671336432).

3484348400 is an abundant number, since it is smaller than the sum of its proper divisors (5858324464).

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

3484348400 is a wasteful number, since it uses less digits than its factorization.

3484348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 3484348400 is about 59028.3694506294. The cubic root of 3484348400 is about 1516.0278907807.

It can be divided in two parts, 3484 and 348400, that multiplied together give a square (1213825600 = 34840²).

The spelling of 3484348400 in words is "three billion, four hundred eighty-four million, three hundred forty-eight thousand, four hundred".