34977977298144 has 144 divisors (see below), whose sum is σ = 104843674419120. Its totient is φ = 11468189122560.

The previous prime is 34977977298127. The next prime is 34977977298149. The reversal of 34977977298144 is 44189277977943.

It is a happy number.

34977977298144 is a `hidden beast` number, since 3 + 497 + 7 + 9 + 7 + 7 + 2 + 9 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×34977977298144³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34977977298149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36396129 + ... + 37344800.

It is an arithmetic number, because the mean of its divisors is an integer number (728081072355).

Almost surely, 2^{34977977298144} is an apocalyptic number.

It is an amenable number.

34977977298144 is an abundant number, since it is smaller than the sum of its proper divisors (69865697120976).

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

34977977298144 is an equidigital number, since it uses as much as digits as its factorization.

34977977298144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73741015 (or 73740995 counting only the distinct ones).

The product of its digits is 5377010688, while the sum is 81.

The spelling of 34977977298144 in words is "thirty-four trillion, nine hundred seventy-seven billion, nine hundred seventy-seven million, two hundred ninety-eight thousand, one hundred forty-four".