3480695400 has 384 divisors, whose sum is σ = 13561632000. Its totient is φ = 733824000.

The previous prime is 3480695389. The next prime is 3480695417. The reversal of 3480695400 is 45960843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2674750 + ... + 2676050.

It is an arithmetic number, because the mean of its divisors is an integer number (35316750).

Almost surely, 2^3480695400 is an apocalyptic number.

3480695400 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 3480695400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816000).

3480695400 is an abundant number, since it is smaller than the sum of its proper divisors (10080936600).

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

3480695400 is a wasteful number, since it uses less digits than its factorization.

3480695400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3480695400 is about 58997.4185875958. The cubic root of 3480695400 is about 1515.4979029852.

The spelling of 3480695400 in words is "three billion, four hundred eighty million, six hundred ninety-five thousand, four hundred".