3965738061054 has 128 divisors (see below), whose sum is σ = 9951975604224. Its totient is φ = 1023475824000.

The previous prime is 3965738061053. The next prime is 3965738061107. The reversal of 3965738061054 is 4501608375693.

It is a super-3 number, since 3×3965738061054³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3965738060985 and 3965738061003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965738061053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59138064 + ... + 59205084.

It is an arithmetic number, because the mean of its divisors is an integer number (77749809408).

Almost surely, 2^{3965738061054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965738061054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975987802112).

3965738061054 is an abundant number, since it is smaller than the sum of its proper divisors (5986237543170).

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

3965738061054 is a wasteful number, since it uses less digits than its factorization.

3965738061054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67862.

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 3965738061054 in words is "three trillion, nine hundred sixty-five billion, seven hundred thirty-eight million, sixty-one thousand, fifty-four".