3401504100 has 108 divisors (see below), whose sum is σ = 10682111440. Its totient is φ = 905342400.

The previous prime is 3401504087. The next prime is 3401504107. The reversal of 3401504100 is 14051043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3401504107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 510591 + ... + 517209.

Almost surely, 2^3401504100 is an apocalyptic number.

3401504100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341055720).

3401504100 is an abundant number, since it is smaller than the sum of its proper divisors (7280607340).

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

3401504100 is a wasteful number, since it uses less digits than its factorization.

3401504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3401504100 is about 58322.4150734518. The cubic root of 3401504100 is about 1503.9162995002.

Adding to 3401504100 its reverse (14051043), we get a palindrome (3415555143).

The spelling of 3401504100 in words is "three billion, four hundred one million, five hundred four thousand, one hundred".