3413576100 has 144 divisors (see below), whose sum is σ = 11341774080. Its totient is φ = 783964800.

The previous prime is 3413576093. The next prime is 3413576107. The reversal of 3413576100 is 16753143.

3413576100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413576093) and next prime (3413576107).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3413576107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35479 + ... + 89921.

It is an arithmetic number, because the mean of its divisors is an integer number (78762320).

Almost surely, 2^3413576100 is an apocalyptic number.

3413576100 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 3413576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670887040).

3413576100 is an abundant number, since it is smaller than the sum of its proper divisors (7928197980).

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

3413576100 is a wasteful number, since it uses less digits than its factorization.

3413576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54490 (or 54483 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3413576100 is about 58425.8170674574. The cubic root of 3413576100 is about 1505.6933410165.

The spelling of 3413576100 in words is "three billion, four hundred thirteen million, five hundred seventy-six thousand, one hundred".