3491294400 has 840 divisors, whose sum is σ = 14634301440. Its totient is φ = 808704000.

The previous prime is 3491294341. The next prime is 3491294447. The reversal of 3491294400 is 44921943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44193561 + ... + 44193639.

Almost surely, 2^3491294400 is an apocalyptic number.

3491294400 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 3491294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317150720).

3491294400 is an abundant number, since it is smaller than the sum of its proper divisors (11143007040).

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

3491294400 is a wasteful number, since it uses less digits than its factorization.

3491294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3491294400 is about 59087.1762737060. The cubic root of 3491294400 is about 1517.0346156070.

The spelling of 3491294400 in words is "three billion, four hundred ninety-one million, two hundred ninety-four thousand, four hundred".