34060451400 has 120 divisors (see below), whose sum is σ = 118297049970. Its totient is φ = 9082782720.

The previous prime is 34060451333. The next prime is 34060451407. The reversal of 34060451400 is 415406043.

34060451400 is a `hidden beast` number, since 3 + 4 + 0 + 604 + 51 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31441673124 + 2618778276 = 177318^2 + 51174^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34060451400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34060451407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1035049 + ... + 1067448.

Almost surely, 2^34060451400 is an apocalyptic number.

34060451400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34060451400 is an abundant number, since it is smaller than the sum of its proper divisors (84236598570).

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

34060451400 is a wasteful number, since it uses less digits than its factorization.

34060451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102525 (or 2102507 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34060451400 its reverse (415406043), we get a palindrome (34475857443).

The spelling of 34060451400 in words is "thirty-four billion, sixty million, four hundred fifty-one thousand, four hundred".