3494050560 has 1152 divisors, whose sum is σ = 16812472320. Its totient is φ = 663552000.

The previous prime is 3494050541. The next prime is 3494050561. The reversal of 3494050560 is 650504943.

It is a happy number.

3494050560 is a `hidden beast` number, since 3 + 4 + 9 + 40 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (3494050561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34594510 + ... + 34594610.

It is an arithmetic number, because the mean of its divisors is an integer number (14594160).

Almost surely, 2^3494050560 is an apocalyptic number.

3494050560 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 3494050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406236160).

3494050560 is an abundant number, since it is smaller than the sum of its proper divisors (13318421760).

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

3494050560 is a wasteful number, since it uses less digits than its factorization.

3494050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3494050560 is about 59110.4944997079. The cubic root of 3494050560 is about 1517.4337121279.

The spelling of 3494050560 in words is "three billion, four hundred ninety-four million, fifty thousand, five hundred sixty".