3400501125 has 128 divisors (see below), whose sum is σ = 6810845184. Its totient is φ = 1473120000.

The previous prime is 3400501067. The next prime is 3400501133. The reversal of 3400501125 is 5211050043.

It is not a de Polignac number, because 3400501125 - 2⁹ = 3400500613 is a prime.

It is a super-2 number, since 2×3400501125² = 23126815802252531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9116439 + ... + 9116811.

It is an arithmetic number, because the mean of its divisors is an integer number (53209728).

Almost surely, 2^3400501125 is an apocalyptic number.

3400501125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3400501125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3400501125 is a wasteful number, since it uses less digits than its factorization.

3400501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3400501125 is about 58313.8159015512. The cubic root of 3400501125 is about 1503.7684689438.

Adding to 3400501125 its reverse (5211050043), we get a palindrome (8611551168).

The spelling of 3400501125 in words is "three billion, four hundred million, five hundred one thousand, one hundred twenty-five".