343404029952 has 384 divisors, whose sum is σ = 1080954201600. Its totient is φ = 107347968000.

The previous prime is 343404029951. The next prime is 343404029957. The reversal of 343404029952 is 259920404343.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×343404029952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343404029898 and 343404029907.

It is not an unprimeable number, because it can be changed into a prime (343404029951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376952377 + ... + 376953287.

It is an arithmetic number, because the mean of its divisors is an integer number (2814984900).

Almost surely, 2^343404029952 is an apocalyptic number.

343404029952 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 343404029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540477100800).

343404029952 is an abundant number, since it is smaller than the sum of its proper divisors (737550171648).

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

343404029952 is a wasteful number, since it uses less digits than its factorization.

343404029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 343404029952 in words is "three hundred forty-three billion, four hundred four million, twenty-nine thousand, nine hundred fifty-two".