342257961650976 has 1152 divisors, whose sum is σ = 1222020172800000. Its totient is φ = 92799766886400.

The previous prime is 342257961650971. The next prime is 342257961650993. The reversal of 342257961650976 is 679056169752243.

342257961650976 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 57 + 9 + 61 + 6 + 509 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (342257961650971) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32599095775 + ... + 32599106273.

It is an arithmetic number, because the mean of its divisors is an integer number (1060781400000).

Almost surely, 2^{342257961650976} is an apocalyptic number.

342257961650976 is a gapful number since it is divisible by the number (36) 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 342257961650976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611010086400000).

342257961650976 is an abundant number, since it is smaller than the sum of its proper divisors (879762211149024).

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

342257961650976 is a wasteful number, since it uses less digits than its factorization.

342257961650976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 342257961650976 in words is "three hundred forty-two trillion, two hundred fifty-seven billion, nine hundred sixty-one million, six hundred fifty thousand, nine hundred seventy-six".