340479677152 has 96 divisors (see below), whose sum is σ = 760029419520. Its totient is φ = 149291112960.

The previous prime is 340479677123. The next prime is 340479677159. The reversal of 340479677152 is 251776974043.

It is a super-2 number, since 2×340479677152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340479677093 and 340479677102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340479677159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40798 + ... + 826210.

It is an arithmetic number, because the mean of its divisors is an integer number (7916973120).

Almost surely, 2^340479677152 is an apocalyptic number.

340479677152 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 340479677152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380014709760).

340479677152 is an abundant number, since it is smaller than the sum of its proper divisors (419549742368).

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

340479677152 is a wasteful number, since it uses less digits than its factorization.

340479677152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785496 (or 785488 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 340479677152 in words is "three hundred forty billion, four hundred seventy-nine million, six hundred seventy-seven thousand, one hundred fifty-two".