3400276505004 has 192 divisors, whose sum is σ = 9435557107200. Its totient is φ = 1069029394560.

The previous prime is 3400276504987. The next prime is 3400276505009. The reversal of 3400276505004 is 4005056720043.

3400276505004 is a `hidden beast` number, since 34 + 0 + 0 + 2 + 76 + 50 + 500 + 4 = 666.

3400276505004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3400276505004³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3400276505004.

It is not an unprimeable number, because it can be changed into a prime (3400276505009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37685064 + ... + 37775184.

It is an arithmetic number, because the mean of its divisors is an integer number (49143526600).

Almost surely, 2^{3400276505004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400276505004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717778553600).

3400276505004 is an abundant number, since it is smaller than the sum of its proper divisors (6035280602196).

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

3400276505004 is a wasteful number, since it uses less digits than its factorization.

3400276505004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90392 (or 90372 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 3400276505004 in words is "three trillion, four hundred billion, two hundred seventy-six million, five hundred five thousand, four".