3478198752 has 288 divisors, whose sum is σ = 12212272800. Its totient is φ = 959164416.

The previous prime is 3478198751. The next prime is 3478198753. The reversal of 3478198752 is 2578918743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3478198751) and next prime (3478198753).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478198751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226328 + ... + 1229160.

It is an arithmetic number, because the mean of its divisors is an integer number (42403725).

Almost surely, 2^3478198752 is an apocalyptic number.

3478198752 is a gapful number since it is divisible by the number (32) 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 3478198752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106136400).

3478198752 is an abundant number, since it is smaller than the sum of its proper divisors (8734074048).

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

3478198752 is a wasteful number, since it uses less digits than its factorization.

3478198752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2874 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 3478198752 is about 58976.2558323263. The cubic root of 3478198752 is about 1515.1354687215.

The spelling of 3478198752 in words is "three billion, four hundred seventy-eight million, one hundred ninety-eight thousand, seven hundred fifty-two".