3498278400 has 180 divisors, whose sum is σ = 12519784992. Its totient is φ = 932843520.

The previous prime is 3498278363. The next prime is 3498278401. The reversal of 3498278400 is 48728943.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498278401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100017 + ... + 130383.

Almost surely, 2^3498278400 is an apocalyptic number.

3498278400 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 3498278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259892496).

3498278400 is an abundant number, since it is smaller than the sum of its proper divisors (9021506592).

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

3498278400 is a wasteful number, since it uses less digits than its factorization.

3498278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30401 (or 30377 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3498278400 is about 59146.2458656507. The cubic root of 3498278400 is about 1518.0455026537.

The spelling of 3498278400 in words is "three billion, four hundred ninety-eight million, two hundred seventy-eight thousand, four hundred".