3487919400 has 384 divisors, whose sum is σ = 13997318400. Its totient is φ = 781747200.

The previous prime is 3487919389. The next prime is 3487919401. The reversal of 3487919400 is 49197843.

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

It is not an unprimeable number, because it can be changed into a prime (3487919401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2002530 + ... + 2004270.

It is an arithmetic number, because the mean of its divisors is an integer number (36451350).

Almost surely, 2^3487919400 is an apocalyptic number.

3487919400 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 3487919400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998659200).

3487919400 is an abundant number, since it is smaller than the sum of its proper divisors (10509399000).

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

3487919400 is a wasteful number, since it uses less digits than its factorization.

3487919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3487919400 is about 59058.6098718891. The cubic root of 3487919400 is about 1516.5456238518.

The spelling of 3487919400 in words is "three billion, four hundred eighty-seven million, nine hundred nineteen thousand, four hundred".