346749258240 has 2240 divisors, whose sum is σ = 1648763043840. Its totient is φ = 67722117120.

The previous prime is 346749258227. The next prime is 346749258241. The reversal of 346749258240 is 42852947643.

It is a happy number.

346749258240 is a `hidden beast` number, since 3 + 4 + 67 + 492 + 58 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 (346749258241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2730309057 + ... + 2730309183.

Almost surely, 2^346749258240 is an apocalyptic number.

346749258240 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 346749258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824381521920).

346749258240 is an abundant number, since it is smaller than the sum of its proper divisors (1302013785600).

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

346749258240 is a wasteful number, since it uses less digits than its factorization.

346749258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 346749258240 in words is "three hundred forty-six billion, seven hundred forty-nine million, two hundred fifty-eight thousand, two hundred forty".