3484894140 has 288 divisors, whose sum is σ = 13431914496. Its totient is φ = 711452160.

The previous prime is 3484894121. The next prime is 3484894199. The reversal of 3484894140 is 414984843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 504349 + ... + 511211.

It is an arithmetic number, because the mean of its divisors is an integer number (46638592).

Almost surely, 2^3484894140 is an apocalyptic number.

3484894140 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 3484894140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715957248).

3484894140 is an abundant number, since it is smaller than the sum of its proper divisors (9947020356).

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

3484894140 is a wasteful number, since it uses less digits than its factorization.

3484894140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3484894140 is about 59032.9919621223. The cubic root of 3484894140 is about 1516.1070365084.

The spelling of 3484894140 in words is "three billion, four hundred eighty-four million, eight hundred ninety-four thousand, one hundred forty".