34712223252480 has 768 divisors, whose sum is σ = 132133885752960. Its totient is φ = 8711917535232.

The previous prime is 34712223252457. The next prime is 34712223252503. The reversal of 34712223252480 is 8425232221743.

34712223252480 is a `hidden beast` number, since 3 + 4 + 7 + 1 + 22 + 23 + 2 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (34712223252457) and next prime (34712223252503).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676797397 + ... + 676848683.

Almost surely, 2^{34712223252480} is an apocalyptic number.

34712223252480 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 34712223252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66066942876480).

34712223252480 is an abundant number, since it is smaller than the sum of its proper divisors (97421662500480).

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

34712223252480 is an frugal number, since it uses more digits than its factorization.

34712223252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51354 (or 51314 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 34712223252480 in words is "thirty-four trillion, seven hundred twelve billion, two hundred twenty-three million, two hundred fifty-two thousand, four hundred eighty".